This best-selling textbook is intended for undergraduate and graduate students taking a second course in linear algebra. The unique approach adopted here relegates determinants to the book's conclusion. The text concentrates on linear algebra's core goal: comprehending the structure of linear operators on finite-dimensional vector spaces. The author has gone to great lengths to motivate concepts and simplify proofs. A range of intriguing exercises in each chapter assist students in understanding and manipulating linear algebra objects.